A FAMILY OF ARC-TRANSITIVE GRAPHS OF GIRTH AT LEAST 5 ADMITTING A SUZUKI SIMPLE GROUP

We give a construction of a new family of Deza graphs of girth at least 5 that possess an arc-transitive group of automorphisms isomorphic to a Suzuki simple group \(Sz(q)\). To study their combinatorical properties, we elaborate some group-theoretic arguments involving classical results on the groups of given type.

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Publication Details

Journal
Ural mathematical journal
Published
2025-12-27
DOI
https://doi.org/10.15826/umj.2025.2.008
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

A FAMILY OF ARC-TRANSITIVE GRAPHS OF GIRTH AT LEAST 5 ADMITTING A SUZUKI SIMPLE GROUP

L. Yu. Tsiovkina, Georgy A. Glinskikh
Ural mathematical journal
Finite Group Theory Research
article

A FAMILY OF ARC-TRANSITIVE GRAPHS OF GIRTH AT LEAST 5 ADMITTING A SUZUKI SIMPLE GROUP

L. Yu. Tsiovkina, Georgy A. Glinskikh
article en

Abstract

We give a construction of a new family of Deza graphs of girth at least 5 that possess an arc-transitive group of automorphisms isomorphic to a Suzuki simple group \(Sz(q)\). To study their combinatorical properties, we elaborate some group-theoretic arguments involving classical results on the groups of given type.

Ural mathematical journalVol. 11(2)
Ural Federal University (RU), N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences (RU), Ural Branch of the Russian Academy of Sciences (RU)
Reduced inequalities
Openalex Percentile: Top 17%
Finite Group Theory Research
DOIOpen Access PDFOpenAlex
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